Chamfered Solids
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Chamfered Icosahedron
(all edges equal)
version 1
Vertices:
72 (60[3] + 12[5])
Faces:
50 (20 equilateral triangles + 30 bi-mirror-symmetric hexagons)
Edges:
120 (all same length)
Symmetry:
Full Icosahedral (Ih)
(values below based on edge length = 1)
Max Vertex Radius:
(2+2*sqrt(5)+sqrt(2*(5+sqrt(5))))/4
≈2.5690905050450484203
Volume:
(195+41*sqrt(5)+6*sqrt(2*(745+229*sqrt(5))))/12
≈48.960395197105894056